<div class="csl-bib-body">
<div class="csl-entry">Ulivelli, J. (2025). First variation of functional Wulff shapes. <i>Advances in Mathematics</i>, <i>480</i>(C), Article 110529. https://doi.org/10.1016/j.aim.2025.110529</div>
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dc.identifier.issn
0001-8708
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/223240
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dc.description.abstract
Using an approximation procedure we establish, for suitable perturbations, a weighted functional version of Aleksandrov's variational lemma in the family of convex functions with compact domain. The resulting formula is then applied to evaluate the first variation of a class of functionals on log-concave functions. In particular, we extend a recent result by Huang, Liu, Xi, and Zhao.